Congruent Triangles

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the symbol used to denote congruence in triangles?

Back

The symbol for congruence is '≅'.

Front

What are the criteria for triangle congruence?

Back

The criteria for triangle congruence include: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

If ΔABC ≅ ΔDEF, what can we conclude about their corresponding sides and angles?

Back

If ΔABC ≅ ΔDEF, then AB = DE, BC = EF, AC = DF and ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Front

How can you find the value of a variable in congruent triangles?

Back

To find the value of a variable in congruent triangles, set the corresponding sides or angles equal to each other and solve for the variable.

Front

What does the statement ΔWTP ≅ ΔDGH imply about the triangles WTP and DGH?

Back

The statement ΔWTP ≅ ΔDGH implies that the triangles WTP and DGH are congruent, meaning their corresponding sides and angles are equal.

Front

What is the significance of the Side-Angle-Side (SAS) congruence criterion?

Back

The SAS criterion states that if two sides of one triangle and the included angle are equal to two sides of another triangle and the included angle, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) congruence criterion?

Back

The ASA criterion states that if two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, then the triangles are congruent.

Front

What is the Angle-Angle-Side (AAS) congruence criterion?

Back

The AAS criterion states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does the Hypotenuse-Leg (HL) criterion apply to?

Back

The HL criterion applies specifically to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.